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Finding the Fourth Proportional to 4,837.47, 6,672.16 and 3,043.20

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Solution

The fourth proportional to 4,837.47, 6,672.16 and 3,043.20 is: 4,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,837.47 : 6,672.16 = 3,043.20 : x
  2. Step 2: Convert to fraction form
    4,837.47/6,672.16 = 3,043.20/x
  3. Step 3: Cross multiply
    4,837.47x = 6,672.16 × 3,043.20
  4. Step 4: Simplify right side
    4,837.47x = 20,304,717.31
  5. Step 5: Solve for x
    x = 20,304,717.31/4,837.47
  6. Step 6: Final answer
    x = 4,197.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.